Finding the Fourth Proportional to 475,370,109.20, 713,055,163.80 and 414,903,933.20
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Solution
The fourth proportional to 475,370,109.20, 713,055,163.80 and 414,903,933.20 is: 622,355,899.80
Step by Step Solution
- Step 1: Write the proportion equation
475,370,109.20 : 713,055,163.80 = 414,903,933.20 : x - Step 2: Convert to fraction form
475,370,109.20/713,055,163.80 = 414,903,933.20/x - Step 3: Cross multiply
475,370,109.20x = 713,055,163.80 × 414,903,933.20 - Step 4: Simplify right side
475,370,109.20x = 295,849,392,049,190,208 - Step 5: Solve for x
x = 295,849,392,049,190,208/475,370,109.20 - Step 6: Final answer
x = 622,355,899.80
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.